Subsets and Power Set
Subsets and Power Set: Overview
This topic covers concepts such as Subset of a Set, Proper Subsets of a Set, Number of Subsets of a Set, Power Set of a Set, Superset of a Set, Subsets of Set of Real Numbers, Intervals as Subsets of R, Open and Close Intervals, etc.
Important Questions on Subsets and Power Set
In interval notationrepresents

If , then the number of proper subsets of is


Two finite sets and have and elements respectively. If the total number of subsets of is more than the total number of subsets of , then the value of is

Find the length of interval .

Find the length of interval .

Find the length of interval .

Write a superset of the following set.

Write a superset of the following set.

Write a superset of the following set.

Write a superset of the following set.

Write a superset of the following set.

Match the List and List and select the correct answer using code:
List (Set-builder form) |
List (Roster form) |
List (Number of subsets) |

Find the number of subsets for the set given below.

If and be two finite sets such that the total number of subsets of is more than the total number of subsets of then (where denotes the number of elements in set ) is equal to

If { is a prime number, }, then the number of elements of power set of is

If , then the total number of relations from set to set are

The length of an interval is

The length of an interval is

Which of the following is the power set of
